Theorems · Theorem · commutative algebra
SModEq.top
∀ {R : Type u_1} [inst : Ring R] {M : Type u_4} [inst_1 : AddCommGroup M] [inst_2 : Module R M] {x y : M},
x ≡ y [SMOD ⊤]- Defined in
- Mathlib.LinearAlgebra.SModEq.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Top.topstatement and proof · cited by 9,680
- Ringstatement and proof · cited by 7,463
- Submodulestatement · cited by 7,192
- SModEqstatement · cited by 80
- Submodule.mem_topproof · cited by 58
- Submodule.Quotient.eqproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- IsHausdorff.subsingletonproof · cited by 3